The Scaling of QED in a Non-Commutative Space-Time

TL;DR

This paper reports numerical simulations of pure U(1) gauge theory in a non-commutative space, exploring its scaling behavior, IR properties, and photon-related phenomena through a matrix model approach.

Contribution

It introduces a matrix model method for simulating non-commutative gauge theories and provides new data on their continuum and infinite volume scaling behavior.

Findings

Scaling of Wilson loops and correlation functions observed

Insights into IR behavior and photon dispersion relation

Preliminary results on 'photo-ball' spectrum

Abstract

We present results of numerical simulations for pure U(1) gauge theory in a non-commutative space. The theory is mapped onto a dimensionally reduced matrix model, which renders its numerical treatment feasible. New data on large lattices reveal the scaling of Wilson loops and their correlation functions in the simultaneous limit to the continuum and to infinite volume, at fixed non-commutativity. In this on-going project we are particularly interested in the IR behaviour, the ``photo-ball'' spectrum and in the photon dispersion relation.